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1. (Continuity of probability) Consider successive generations of a certain population. Suppose that the (n + 1)-th generation consists entirely of the offspring of the

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1. (Continuity of probability) Consider successive generations of a certain population. Suppose that the (n + 1)-th generation consists entirely of the offspring of the n-th generation. The probability that nth generation completely dies out before producing any offspring equals 71 l Z (exp(l) 1). What is the probability that such a population survives forever

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